Stericated 8-simplexes


In eight-dimensional geometry, a stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations of the regular 8-simplex. There are 16 unique sterications for the 8-simplex including permutations of truncation, cantellation, and runcination.

Stericated 8-simplex

Coordinates

The Cartesian coordinates of the vertices of the stericated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the stericated 9-orthoplex.

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Bistericated 8-simplex

Coordinates

The Cartesian coordinates of the vertices of the bistericated 8-simplex can be most simply positioned in 9-space as permutations of. This construction is based on facets of the bistericated 9-orthoplex.

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Steritruncated 8-simplex

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Bisteritruncated 8-simplex

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Stericantellated 8-simplex

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Bistericantellated 8-simplex

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Stericantitruncated 8-simplex

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Bistericantitruncated 8-simplex

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Steriruncinated 8-simplex

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Bisteriruncinated 8-simplex

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Steriruncitruncated 8-simplex

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Bisteriruncitruncated 8-simplex

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Steriruncicantellated 8-simplex

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Bisteriruncicantellated 8-simplex

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Steriruncicantitruncated 8-simplex

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Bisteriruncicantitruncated 8-simplex

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Related polytopes

This polytope is one of 135 uniform 8-polytopes with A8 symmetry.